This publication bargains uncomplicated concept on hypercomplex-analytic automorphic kinds and capabilities for mathematics subgroups of the Vahlen crew in better dimensional areas. Vector- and Clifford algebra-valued Eisenstein and Poincaré sequence are built inside of this framework and a close description in their analytic and quantity theoretical houses is supplied. It establishes particular relationships to generalized variations of the Riemann zeta functionality and Dirichlet L-series, and introduces hypercomplex multiplication of lattices.
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